On the other hand, EGT studies exist that describe commitment or agreement based interactions but do not model the formation process explicitly, thus omitting behaviours conditioned on the presence or absence of a commitment [1]}, [2]}, [3]}, [4]}.
Moreover, where incentives are concerned, they only target behaviours in the interaction; they have not addressed incentives for improving participation in and compliance with an adopted commitment [3]}, [4]}, [7]}, [8]}, [9]}, [10]}.
In this work, we close this gap by studying how to use an incentive budget effectively for improving both participation and compliance, thereby improving the overall cooperation.
Since joining a commitment usually involves a cost, e.g. initial time and effort to setting up the commitment [11]} and/or membership fees [12]}, and requires the involved parties to follow certain restrictive terms and conditions, participation might need to be encouraged.
Indeed, examples of incentives to encourage participation are abundant in real world scenarios, including climate change agreement [13]}, healthcare programs such as for smoking cessation in pregnancy [11]} and diabetes [15]}. Lottery was used as a form of reward for participation in Covid-19 vaccination in many countries including the US [16]}.
